What is the 3065th prime number?
The 3065th prime number is 28097. The next prime is 28099 (a gap of 2) and the one before is 28087.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3065th one is 28097.
- 2
28097 is prime because no prime up to ā28097 ā 167.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3065th prime is close to 3065 Ć ln(3065) ā 24605, and here it is 28097.
- 4
28097 is a twin prime: 28097 and 28099 are both prime.
Primes around the 3065th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3062 | 28069 | 12 |
| 3063 | 28081 | 12 |
| 3064 | 28087 | 6 |
| 3065 | 28097 | 10 |
| 3066 | 28099 | 2 |
| 3067 | 28109 | 10 |
| 3068 | 28111 | 2 |
Questions
What is the 3065th prime number?
28097.
Which prime number is 28097?
28097 is the 3065th prime number.
What is the sum of the first 3065 primes?
40,451,504.